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Finding the Third Proportional to 181,544 and 398,924

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Solution

The third proportional to 181,544 and 398,924 is: 876,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,544 : 398,924 = 398,924 : x
  2. Step 2: Convert to fraction form
    181,544/398,924 = 398,924/x
  3. Step 3: Cross multiply
    181,544x = 398,924 × 398,924
  4. Step 4: Simplify right side
    181,544x = 159,140,357,776
  5. Step 5: Solve for x
    x = 159,140,357,776/181,544
  6. Step 6: Final answer
    x = 876,593.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.